Materials Science and Engineering Properties, SI Edition
1st Edition
ISBN: 9781305178175
Author: GILMORE, Charles
Publisher: Cengage Learning
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Chapter 2, Problem 4CQ
To determine
The number in periodic table which is equal to number of valence electrons of an electron should be determined.
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A double-T simply supported concrete beam its cross section is shown in
Figure, is prestressed with 2 tendons each 400 mm². Determine the allowable
service load.
Use span 12 m, fse = 1300 MPa, fe = 40 MPa, y = 25 kN/m³.
=
1200 mm
>09
*100*
As = 400
+100+
As = 400
400
1400+
A double-T simply supported concrete beam its cross section is shown in
Figure, is prestressed with 2 tendons each 400 mm². Determine the allowable
service load.
Use span 12 m, fse = 1300 MPa, fc = 40 MPa, y = 25 kN/m³.
=
1200 mm
>09<
*100*
As = 400
+100+
As = 400
400
1400+
A prestressed simply supported 15 m span beam with rectangular box section is post-tensioned by
straight high tensile steel wires as shown in Figure. The prestressing wires are placed at the center
line of the flanges and initially stressed to 850 N/mm². The beam is required to carry a uniformly
distributed superimposed load of 4.5 kN/m in addition to its weight. If the concrete stresses are not
to exceed 17 MPa in compression and 1 MPa in tension at service stage, calculate the range of the
total prestressing wires area required. Ignore prestressing force losses in your answer. (Ye
kN/m³).
= 24
2As
400
As
80
80;
750
Chapter 2 Solutions
Materials Science and Engineering Properties, SI Edition
Ch. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQ
Ch. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Prob. 13CQCh. 2 - Prob. 14CQCh. 2 - Prob. 15CQCh. 2 - Prob. 16CQCh. 2 - Prob. 17CQCh. 2 - Prob. 18CQCh. 2 - Prob. 19CQCh. 2 - Prob. 20CQCh. 2 - Prob. 21CQCh. 2 - Prob. 22CQCh. 2 - Prob. 23CQCh. 2 - Prob. 24CQCh. 2 - Prob. 25CQCh. 2 - Prob. 26CQCh. 2 - Prob. 27CQCh. 2 - Prob. 28CQCh. 2 - Prob. 29CQCh. 2 - Prob. 30CQCh. 2 - Prob. 31CQCh. 2 - Prob. 32CQCh. 2 - Prob. 33CQCh. 2 - Prob. 34CQCh. 2 - Prob. 35CQCh. 2 - Prob. 36CQCh. 2 - Prob. 37CQCh. 2 - Prob. 38CQCh. 2 - Prob. 39CQCh. 2 - Prob. 40CQCh. 2 - Prob. 41CQCh. 2 - Prob. 42CQCh. 2 - Prob. 43CQCh. 2 - Prob. 44CQCh. 2 - Prob. 45CQCh. 2 - Prob. 46CQCh. 2 - Prob. 47CQCh. 2 - Prob. 48CQCh. 2 - Prob. 49CQCh. 2 - Prob. 50CQCh. 2 - Prob. 51CQCh. 2 - Prob. 52CQCh. 2 - Prob. 1ETSQCh. 2 - Prob. 2ETSQCh. 2 - Prob. 3ETSQCh. 2 - Prob. 4ETSQCh. 2 - Prob. 5ETSQCh. 2 - Prob. 6ETSQCh. 2 - Prob. 7ETSQCh. 2 - Prob. 8ETSQCh. 2 - Prob. 9ETSQCh. 2 - Prob. 10ETSQCh. 2 - Prob. 11ETSQCh. 2 - Prob. 12ETSQCh. 2 - Prob. 13ETSQCh. 2 - Prob. 1DRQCh. 2 - Prob. 2DRQCh. 2 - Prob. 3DRQCh. 2 - Prob. 4DRQCh. 2 - Prob. 5DRQCh. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26P
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- A simply supported rectangular prestressed concrete beam, of span 13 m and its cross section as shown in figure, is carrying a live load equals to 30 kN/m in addition to its weight, compute the following stresses and compare it with ACI allowable stress: a) Bottom fiber stress at support in initial stage. b) Top fiber stress at mid span in final stage. Use y = 24 kN/m³, As = 600 mm², initial stress of the prestressed steel = 1200 MPa, total losses is 20%, fci = 22 MPa, and fo' = 28 MPa 800 mm 3 As 400 mm As 340 mm 340 mmarrow_forwardA study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 320.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 401.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 395.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 356.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 415.4 441.8 419.9 410.7 473.4 441.2 465.8 USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Ho M1 M2 M3 = μ4=μ5 Ha all five μ's are unequal Ho: M1 M2 M3 #44 #μ5 Ha all five μ's are equal Ho: M₁ μ2 43 #44 #μ5 H₁: at least two μ,'s are equal O Ho M1 M2 M3 = μ4=μ5 Ha at least two μ's are unequal Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Degrees of Sum of Mean Source Squares Squares f freedom Treatments Error…arrow_forward1-Define a cartesion system 2 identify the structure's supports and the type of structure (2D) or 3D 3-If the structure has more than one element dismember the structure and draw free body diagram(show all actions and reactions) on each element independently 4- Determine the type of suports 5- show the unkown supports reactions with any assumed direction but you cannot change the assumed force direction once you dicede 6-In a common joint, you can dicide on the force direction in one element, however, in the other one you need to follow the Newton'ns 3rd law and shoe the opposite direction 7- if you have multiple actions forces in the system, find force components for each foce independently use Sin/Cos/Tan functions to find forces components in two perpendicular directions 8- Add forces in each direction since they are paralled forces Rx=fx Ry=fy Rz= fyarrow_forward
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- The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. 1,410 1,465 1,470 1,515 2,190 x 390 740 760 810 860 1,035 1,190 1,240 1,290 у 3.90 4.10 4.80 5.10 3.90 3.60 6.20 6.78 7.65 4.85 7.90 4.35 6.70 9.00 S = 2,619,058.929, S = 39.0467, S xx yy 7,588.061. A scatter plot shows a linear pattern. ху (a) Test to see whether there is a positive correlation between maximal lactate level and muscular endurance in the population from which this data was selected. (Use α = 0.05.) State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: p 0 Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t P-value = State the conclusion in the problem…arrow_forwardProcedure: 1- Define your Cartesian system. 2- Identify the structure's supports and the type of structure (2D) or 3D 3- If the structure has more than one element dismember the structure and draw free body diagram (show all actions and reactions) on each element independently. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forwardProcedure: 1- Define your Cartesian system. 2- Identify the structure's supports and the type of structure (2D) or 3D 3- If the structure has more than one element dismember the structure and draw free body diagram (show all actions and reactions) on each element independently. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forward
- Procedure: 1- Define your Cartesian system. 2- Identify the structure's supports and the type of structure (2D) or 3D 3- If the structure has more than one element dismember the structure and draw free body diagram (show all actions and reactions) on each element independently. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forwardProcedure: 1- Define your Cartesian system. 2- Identify the structure's supports and the type of structure (2D) or 3D 3- If the structure has more than one element dismember the structure and draw free body diagram (show all actions and reactions) on each element independently. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forwardThe Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST 4200 3600 3750 3625 4050 3100 RBOT 370 340 375 305 350 210 TOST 4670 RBOT 450 4500 395 3500 285 2900 3750 3350 260 345 285 (a) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) r = Interpret the value of the sample correlation coefficient. The value of r indicates that there is a strong, positive linear relationship between TOST and RBOT. The value of r indicates that there is a strong, negative linear relationship between TOST and RBOT ○ The value of r indicates that there is a weak, negative linear relationship between TOST and RBOT. O The value of r indicates that there is a weak, positive linear relationship between TOST and RBOT. (b) How…arrow_forward
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